Pith Number

pith:OF2SG2CJ

pith:2019:OF2SG2CJRSXBI3LGJVMUKDB6B3

not attested not anchored not stored refs pending

A quantum categorification of the Alexander polynomial

Emmanuel Wagner, Louis-Hadrien Robert

arxiv:1902.05648 v3 · 2019-02-15 · math.GT · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OF2SG2CJRSXBI3LGJVMUKDB6B3}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

State sums for some super quantum link invariants

Receipt and verification

First computed	2026-07-05T05:26:31.005074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71752368498cae146d664d59450c3e0ec95118f26fbf315833cf7f34da4af733

Aliases

arxiv: 1902.05648 · arxiv_version: 1902.05648v3 · doi: 10.48550/arxiv.1902.05648 · pith_short_12: OF2SG2CJRSXB · pith_short_16: OF2SG2CJRSXBI3LG · pith_short_8: OF2SG2CJ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OF2SG2CJRSXBI3LGJVMUKDB6B3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 71752368498cae146d664d59450c3e0ec95118f26fbf315833cf7f34da4af733

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50301104d85d3601fc16175d5d816e1b00eb111470a3b52b7154df3496aea9d7",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-02-15T00:14:11Z",
    "title_canon_sha256": "2b16044021253076e78f6e1e526b7e82ac671092183633e6c9adb92bc8dd23ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.05648",
    "kind": "arxiv",
    "version": 3
  }
}